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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 3 · Set 1 · Q5
For what value of 'n', are the n ^th terms of the APs: 9, 7, 5,..... and 15,12,9, …. the same?
For what value of 'n', are the n $\displaystyle { }^{\text {th }}$ terms of the APs : $\displaystyle 9$, $\displaystyle 7$, $\displaystyle 5$, ..... and $\displaystyle 15,12,9, \ldots$. the same ?
Marking-scheme solution
$\displaystyle n$th terms are $\displaystyle 9+(n-1)(-2)$ and $\displaystyle 15+(n-1)(-3)$
Thus, $\displaystyle 9-2(n-1)=15-3(n-1)$ gives $\displaystyle n=7$
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CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.